Parameter: λ₁₃ Identified

Algebraic Equations:

σ₁₁λ₁₃-σ₁₃,
σ₁₄σ₂₂λ₁₃+σ₂₃σ₂₄-σ₂₂σ₃₄

Single Door Criterion:

{1} ⊥ {2,3} | {}
{1} ⊥ {3} | {2}
{1} ⊥ {3} | {2,4}

Instrumental Variable:

4 | {2}

Parameter: λ₁₄

Parameter: λ₂₃

Parameter: λ₂₄ Identified

Algebraic Equations:

σ₂₂λ₂₄-σ₂₄,
σ₁₃σ₁₄+σ₁₁σ₂₃λ₂₄-σ₁₁σ₃₄

Single Door Criterion:

{2} ⊥ {1,4} | {}
{2} ⊥ {4} | {1}
{2} ⊥ {4} | {1,3}

Instrumental Variable:

3 | {1}

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₁₄

Parameter: ω₂₂ Identified

Algebraic Equations:

-σ₂₂+ω₂₂

Parameter: ω₂₃

Parameter: ω₃₃

Parameter: ω₄₄

Vanishing Ideal

Constraint Set:

σ₁₂,
σ₁₃σ₁₄σ₂₂+σ₁₁σ₂₃σ₂₄-σ₁₁σ₂₂σ₃₄

All constraints are determinantal

Trek-separation:

{1} ⊥ {2} | ({},{})
{1,2,3} ⊥ {2,1,4} | ({1},{2})